Right now in my class i am learning about sequences and series and im currtently suck on this problem.

Question

"A certain sequence is defined recursively by the t1=1 , t2=2, t2n=2t2n-2, t2n+1=3t2n-1. Find the first eight terms of the sequence."

thanks for your help.

Answer 1

Write the sixth term of the sequence: t1 = 1 and tn = 3tn-1 + 1